Solve Ax^2=1

$$A x ^ { 2 } = 1$$

Solve for A

$$A=\frac{1}{x^{2}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$x^{2}A=1$$

Divide both sides by x^{2}.

$$\frac{x^{2}A}{x^{2}}=\frac{1}{x^{2}}$$

Dividing by x^{2} undoes the multiplication by x^{2}.

$$A=\frac{1}{x^{2}}$$

Solve for x (complex solution)

$$x=-A^{-\frac{1}{2}}$$

$$x=A^{-\frac{1}{2}}\text{, }A\neq 0$$

Solve for x

$$x=\frac{1}{\sqrt{A}}$$

$$x=-\frac{1}{\sqrt{A}}\text{, }A>0$$